12x3=36 That is the equation
Answer:
101 revolutions
Step-by-step explanation:
Given: The diameter of the bike wheel is 19 inches.
We need to find the circumference of the wheel.
The circumference of the wheel = πd
π = 3.14 and d = 19
Now plug in these values in the above formula, we get
The circumference of the wheel = 3.14*19
= 59.66 inches
We need to find number of revolutions of wheel to cover the distance of 500 feet.
Now we have to convert 500 feet to inches.
1 foot = 12 inches.
500 feet = 500 *12 = 6000 inches.
The number of revolution = 6000 / 59.66
= 100.56
When we round of to the nearest whole number, we get 101
To cover the distance of 500 feet, the wheel must be rotate 101 times.
Answer:
x = 25
Step-by-step explanation:
This is an equilateral triangle as all 3 angles are marked as equal.
Hence the 3 sides are equal
Equate any 2 and solve for x
4x - 30 = 3x - 5 ( subtract 3x from both sides )
x - 30 = - 5 ( add 30 to both sides )
x = 25
As a check on the sides
4x - 30 = (4 × 25) - 30 = 100 - 30 = 70
3x - 5 = (3 × 25 ) - 5 = 75 - 5 = 70
2x + 20 = (2 × 25 ) + 20 = 50 + 20 = 70
confirming that x = 25
X^3 - 21x = -20add 20 to both sidesx^3 - 21 x + 20 = 0Rational Root Theorem:Factors of P (constant) 20 = 1, 2, 4, 5, 10, 20------------------------------- Factors of Q (leading Coefficient) = 1
Possible zeros (all + -) 1/1, 2/1, 4/1, 5/1, 10/1, 20/1
Of the choices given only the number 1 is a possible root.
Answer:
Options (E) and (G).
Step-by-step explanation:
From the data given in the table,
There is a common difference of $100 in every successive term of the amount of money.
Therefore, graph of the given table will represents a linear graph.
There are two points (5, 1200) and (6, 1300) lying on the graph.
Let the equation of the line is,
If A = Amount of money
n = Number of months
where 'n' = slope of the line
Slope = 
= 
= 100
Equation of the line passing through (6, 1300) and slope = 100
A - 1200 = 100(m - 5)
A = 100(m - 5) + 1200
A = 100m - 500 + 1200
A = 100m + 700
Therefore, Options (E) and (G) are the correct options.
